106066656 has 36 divisors (see below), whose sum is σ = 301627872. Its totient is φ = 35355456.

The previous prime is 106066651. The next prime is 106066657. The reversal of 106066656 is 656660601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106066656² = 22500271030044672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106066656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106066651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183856 + ... + 184431.

It is an arithmetic number, because the mean of its divisors is an integer number (8378552).

Almost surely, 2^106066656 is an apocalyptic number.

106066656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106066656 is an abundant number, since it is smaller than the sum of its proper divisors (195561216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106066656 is a wasteful number, since it uses less digits than its factorization.

106066656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368303 (or 368292 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106066656 is about 10298.8667337722. The cubic root of 106066656 is about 473.3615288809.

The spelling of 106066656 in words is "one hundred six million, sixty-six thousand, six hundred fifty-six".